Learn the fast and easy Method for Finding the Cube of a Two-Digit Number that makes the Cube and Cube Root calculation more simple. The easy way to find the Cube of a Two-Digit Number is by using (a + b)³ = a³ + 3a²b + 3ab² + b³.
Solving Cube of a Two-Digit Number is easier after you identify the step by step process. Have a look at the simplest way to find the cube of all two-digit numbers. Also, learn more about Cube and Cube Roots of a Number with more tips and tricks.
What is the Short Cut Method for Finding The Cubes Of a Two-Digit Number?
The cube of a two-digit number can be found with the help of tens digit = a and also with the units digit b. We can make four columns using a³, (3a² × b), (3a × b²), and b³.
The remaining process is the same as the squaring a number by the column method. a³, 3a², 3ab², and b³ are simplified as
a² × a = a³;
a² × 3b = 3a²b;
b² × 3a = 3ab²;
b² × b = b³;
Cubes Of a Two-Digit Number Solved Examples
1. Find the value of (29)³ by the short-cut method?
Answer:
Let a = 2 and b = 9
Now, find the values of a³, 3a², 3ab², and b³.
Therefore, Cube of 29 = (29)³ = 24389
Cube of 29 is 24389
2. Find the value of (71)³ by the short-cut method?
Answer:
Let a = 7 and b = 1
Now, find the values of a³, 3a², 3ab², and b³.
Therefore, Cube of 71 = (71)³ = 357911
Find the easy and short cut method to learn the cube of a two-digit number. Begin your practice now with the help of the solved examples. Cube and Cube Root of a Numbers are clearly explained here.
